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1022430040 = 235232211229
BaseRepresentation
bin111100111100010…
…000101101011000
32122020212211100021
4330330100231120
54043220230130
6245242120224
734223340412
oct7474205530
92566784307
101022430040
11485153905
122464b0074
13133a916b8
1499b099b2
155eb6237a
hex3cf10b58

1022430040 has 96 divisors (see below), whose sum is σ = 2426785200. Its totient is φ = 387636480.

The previous prime is 1022430011. The next prime is 1022430053. The reversal of 1022430040 is 400342201.

1022430040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1022429996 and 1022430023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4464646 + ... + 4464874.

Almost surely, 21022430040 is an apocalyptic number.

1022430040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213392600).

1022430040 is an abundant number, since it is smaller than the sum of its proper divisors (1404355160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022430040 is a wasteful number, since it uses less digits than its factorization.

1022430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1022430040 is about 31975.4599654172. The cubic root of 1022430040 is about 1007.4214655949.

Adding to 1022430040 its reverse (400342201), we get a palindrome (1422772241).

The spelling of 1022430040 in words is "one billion, twenty-two million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 211 229 230 422 458 460 529 844 916 920 1055 1058 1145 1688 1832 2110 2116 2290 2645 4220 4232 4580 4853 5267 5290 8440 9160 9706 10534 10580 19412 21068 21160 24265 26335 38824 42136 48319 48530 52670 96638 97060 105340 111619 121141 193276 194120 210680 223238 241595 242282 386552 446476 483190 484564 558095 605705 892952 966380 969128 1111337 1116190 1211410 1932760 2222674 2232380 2422820 4445348 4464760 4845640 5556685 8890696 11113370 22226740 25560751 44453480 51121502 102243004 127803755 204486008 255607510 511215020 1022430040